Joey was, of course, Archie Bunker's grandson on "All in the Family," the only child of Mike "Meathead" (Rob Reiner) and Gloria (pre-"South Park" mockery Sally Struthers, who was quite the blonde babe for a while).
(Speaking of which, back in the 1970s, when we all had huge families, it was a little odd that both Archie and Edith and then Mike and Gloria after them only had one child. I never thought of that at the time though.)
Anyway, the Joey doll gained fame because he was supposedly the first anatomically correct baby boy doll, and this for some reason was a HUGE DEAL.
Matt at X-E has a more sane view: "Thank God Archie Bunker -- obvious hero to young girls of the world -- was there to spray his venom in the general direction of a doll-making factory's naughty-lever. Come on...All In The Family toys? There had to be more sinister business strategies in place. Surely nobody at Ideal thought kids were gonna go for this. No, this was really for older folks who wanted something interesting to show their guests. "
I don't know anyone who had the Joey Stivic doll, and frankly, that is about the worst last name in sitcom history.